Question

A cone of radius $R$ and height $H$ is hanging inside a liquid of density by means of a string as shown in the figure.

• A. Net force on the cone by the liquid is equal to buoyancy force on the cone.
• B. Force on the bottom surface of the cone is more than buoyancy force on the cone.
• C. Ne force on the slant surface of the cone is more than buoyancy force on the cone.
• D. Ne force on the slant surface of the cone is less than buoyancy force on the cone.

Answer 1

Answer: (A), (B), (C)

Net force on the cone by the liquid is equal to buoyancy force on the cone.
Force on the bottom surface of the cone is more than buoyancy force on the cone.
Ne force on the slant surface of the cone is more than buoyancy force on the cone.

Net force by the liquid is called buoyancy force (definition).

Horizontal component of ${F_B}_1$ and ${F_B}_2$ will cancel each other. Net force on slant surface will be in downward direction and net buoyant force will be vector sum of the net downward buoyant force acting on slant surface and $F_B$(up) acting on base of the cone.

And the net force will be less than these individual forces as they are in opposite directions.

Hence, this question has multiple answers.